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Finding the Third Proportional to 341,825 and 745,155

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Solution

The third proportional to 341,825 and 745,155 is: 1,624,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,825 : 745,155 = 745,155 : x
  2. Step 2: Convert to fraction form
    341,825/745,155 = 745,155/x
  3. Step 3: Cross multiply
    341,825x = 745,155 × 745,155
  4. Step 4: Simplify right side
    341,825x = 555,255,974,025
  5. Step 5: Solve for x
    x = 555,255,974,025/341,825
  6. Step 6: Final answer
    x = 1,624,386.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.